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Finding the Fourth Proportional to 13,000.92, 19,504.62 and 5,209.53

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Solution

The fourth proportional to 13,000.92, 19,504.62 and 5,209.53 is: 7,815.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,000.92 : 19,504.62 = 5,209.53 : x
  2. Step 2: Convert to fraction form
    13,000.92/19,504.62 = 5,209.53/x
  3. Step 3: Cross multiply
    13,000.92x = 19,504.62 × 5,209.53
  4. Step 4: Simplify right side
    13,000.92x = 101,609,903.03
  5. Step 5: Solve for x
    x = 101,609,903.03/13,000.92
  6. Step 6: Final answer
    x = 7,815.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.